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Simplifying 5x(6x + -1) = (10x + -7)(3x + 1) Reorder the terms: 5x(-1 + 6x) = (10x + -7)(3x + 1) (-1 * 5x + 6x * 5x) = (10x + -7)(3x + 1) (-5x + 30x2) = (10x + -7)(3x + 1) Reorder the terms: -5x + 30x2 = (-7 + 10x)(3x + 1) Reorder the terms: -5x + 30x2 = (-7 + 10x)(1 + 3x) Multiply (-7 + 10x) * (1 + 3x) -5x + 30x2 = (-7(1 + 3x) + 10x * (1 + 3x)) -5x + 30x2 = ((1 * -7 + 3x * -7) + 10x * (1 + 3x)) -5x + 30x2 = ((-7 + -21x) + 10x * (1 + 3x)) -5x + 30x2 = (-7 + -21x + (1 * 10x + 3x * 10x)) -5x + 30x2 = (-7 + -21x + (10x + 30x2)) Combine like terms: -21x + 10x = -11x -5x + 30x2 = (-7 + -11x + 30x2) Add '-30x2' to each side of the equation. -5x + 30x2 + -30x2 = -7 + -11x + 30x2 + -30x2 Combine like terms: 30x2 + -30x2 = 0 -5x + 0 = -7 + -11x + 30x2 + -30x2 -5x = -7 + -11x + 30x2 + -30x2 Combine like terms: 30x2 + -30x2 = 0 -5x = -7 + -11x + 0 -5x = -7 + -11x Solving -5x = -7 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -5x + 11x = -7 + -11x + 11x Combine like terms: -5x + 11x = 6x 6x = -7 + -11x + 11x Combine like terms: -11x + 11x = 0 6x = -7 + 0 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667
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